10211101111121 has 4 divisors (see below), whose sum is σ = 10223913033012. Its totient is φ = 10198289189232.

The previous prime is 10211101111109. The next prime is 10211101111193. The reversal of 10211101111121 is 12111110111201.

10211101111121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 5959999398721 + 4251101712400 = 2441311^2 + 2061820^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211101111121 - 2²² = 10211096916817 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10211101111096 and 10211101111105.

It is not an unprimeable number, because it can be changed into a prime (10211101111621) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6405959750 + ... + 6405961343.

It is an arithmetic number, because the mean of its divisors is an integer number (2555978258253).

Almost surely, 2^{10211101111121} is an apocalyptic number.

It is an amenable number.

10211101111121 is a deficient number, since it is larger than the sum of its proper divisors (12811921891).

10211101111121 is an equidigital number, since it uses as much as digits as its factorization.

10211101111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12811921890.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 10211101111121 its reverse (12111110111201), we get a palindrome (22322211222322).

The spelling of 10211101111121 in words is "ten trillion, two hundred eleven billion, one hundred one million, one hundred eleven thousand, one hundred twenty-one".